Question

A park contains at most five of seven kinds of trees - firs, laurels, maples, oaks, pines, spruces, and yews - consistent with the following conditions:

Conditions:

If firs are in the park, then pines are not.
Oaks and yews cannot both be in the park.
If spruces are in the park, then maples are also in the park.
What is a possible combination of trees in the park?
a) Firs, maples, oaks, pines
b) Laurels, oaks, spruces, yews
c) Firs, maples, spruces, yews
d) Laurels, maples, oaks, pines

Answer 1

The possible combination of trees in the park is (c) Firs, maples, spruces, and yews.

Step-by-step explanation:

To determine a possible combination of trees in the park, we need to consider the given conditions. Let's analyze each condition:

1. If firs are in the park, then pines are not. This means that if there are firs, pines cannot be present in the park.
2. Oaks and yews cannot both be in the park. This implies that if there are oaks, yews cannot be in the park, and vice versa.
3. If spruces are in the park, then maples are also in the park. This indicates that if there are spruces, maples must also be present in the park.

Based on these conditions, we can rule out some combinations:

• Firs and pines cannot be together.
• Oaks and yews cannot be together.
• If there are spruces, maples must also be present.

After considering the given conditions, the only possible combination of trees in the park is (c) Firs, maples, spruces, and yews.